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Finding the Fourth Proportional to 455.75, 628.78 and 259.19

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Solution

The fourth proportional to 455.75, 628.78 and 259.19 is: 357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.75 : 628.78 = 259.19 : x
  2. Step 2: Convert to fraction form
    455.75/628.78 = 259.19/x
  3. Step 3: Cross multiply
    455.75x = 628.78 × 259.19
  4. Step 4: Simplify right side
    455.75x = 162,969.05
  5. Step 5: Solve for x
    x = 162,969.05/455.75
  6. Step 6: Final answer
    x = 357.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.